How Was the Crossed Ladder Problem Formula Derived?

  • Context: Undergrad 
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SUMMARY

The formula for the crossed ladder problem is derived using the principles of similar triangles and the Pythagorean theorem. Specifically, the relationship between the heights and distances of the ladders can be expressed mathematically through these geometric concepts. The discussion references a detailed explanation available at Jim Loy's website, which provides a comprehensive breakdown of the derivation process.

PREREQUISITES
  • Understanding of similar triangles
  • Knowledge of the Pythagorean theorem
  • Basic algebra for manipulating equations
  • Familiarity with geometric problem-solving techniques
NEXT STEPS
  • Study the derivation of the crossed ladder formula in detail on Jim Loy's website
  • Explore additional geometric applications of similar triangles
  • Learn about advanced applications of the Pythagorean theorem in real-world problems
  • Investigate other geometric paradoxes and their solutions
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Mathematicians, geometry students, educators, and anyone interested in solving geometric puzzles and understanding their derivations.

Moni
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Can anyone tell how did the formula for the cross ladder came?

http://www.jimloy.com/puzz/ladder.htm
 
Last edited by a moderator:
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Use similar triangles, together with the Pythagorean theorem.
 

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